Stanley depth of monomial ideals in three variables

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dc.creatorCimpoeas, Mircea
dc.date2008-07-14
dc.date2008-07-31
dc.date.accessioned2026-07-07T09:53:39Z
dc.date.available2026-07-07T09:53:39Z
dc.descriptionWe show that $\depth(S/I)=0$ if and only if $\sdepth(S/I)=0$, where $I\subset S=K[x_1,...,x_n]$ is a monomial ideal. We give an algorithm to compute the Stanley depth of $S/I$, where $I\subset S=K[x_1,x_2,x_3]$ is a monomial ideal. Also, we prove that a monomial ideal $I\subset K[x_1,x_2,x_3]$ minimally generated by three monomials has $\sdepth(I)=2$.
dc.description9 pages
dc.identifierhttps://arxiv.org/abs/0807.2166
dc.identifierhttp://arxiv.org/abs/0807.2166
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166029
dc.subjectCommutative Algebra
dc.subject13H10; 13P10
dc.titleStanley depth of monomial ideals in three variables
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